超線性的 的英文怎麼說
中文拼音 [chāoxiànxìngde]
超線性的
英文
ultra linear- 超 : Ⅰ動詞1 (越過; 高出) exceed; surpass; overtake 2 (在某個范圍以外; 不受限制) transcend; go beyo...
- 線 : 名詞1 (用絲、棉、金屬等製成的細長的東西) thread; string; wire 2 [數學] (一個點任意移動所構成的...
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 的 : 4次方是 The fourth power of 2 is direction
- 線性 : [數學] [物理學] linear; linearity線性代數 linear algebra; 線性方程 linear equation; 線性規劃 line...
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It exploits the structured of the hessian matrix of the objective function sufficiently. an attractive property of the structured bfgs method is its local superlinear / quadratic convergence property for the nonzero / zero residual problems. the local convergence of the structured bfgs method has been well established
它們充分利用了目標函數的hesse矩陣的結構以提高演算法的效率,該演算法的顯著優點是對于零殘量問題具有二階收斂性而對于非零殘量問題具有超線性收斂性。Existence and incomparability of positive solutions for second order singular superlinear differential equations
二階奇異超線性微分方程正解的存在性和不可比較性An existence theorem of positive solution for a superlinear semipositone second - order three - point bvp
超線性半正二階三點邊值問題的一個正解存在定理The harmonic factor raises with the growth of volume percentage of hardening particles no mater what detecting direction is. but it is not a linear variation course. the harmonic factor mounts up slowly under the critical value but increases rapidly while exceeds the critical value
在正、逆向檢測時,隨著強化粒子體積百分數的增加,在有效頻帶范圍內諧波系數同時單調增加,但其變化是非線性的,即在臨界值以下,諧波系數的變化趨于平緩,而超過臨界值以後,隨著強化相粒子體積百分數的增加,諧波系數快速增加。Third, by means of smale, s point estimates theorem, the existence and the convergence theorem of broyden, s iteration is given, the method has less calculation and the speed of super linear convergence for solving the nonlinear equations with nondifferential terms under the point estimates or weak condition
第三,本文利用smale提出的點估計理論,給出了在點估計和弱條件下,用計算量小、具有超線性收斂速度的broyden方法來求解帶不可微項的非線性方程,給出了存在性收斂性定理及相應的證明。Using the conic function model local approximation, w. cdavidon ( 1980 ) proposed a class of iterative algorithms with modified matrix combining function value, furthermore under the theory d. c. sorensen has used local quadratic approximation method, then applying collinear scaling idea improving on the above algorithm and generalizing it, getting a class of collinear scaling algorithm, unifying former quasi - newton. in the paper, using local quadratic approximation method, the first, constructing the new collinear scaling gene, getting a class of the new collinear scaling algorithm with briefness and numerical stability, ., we discusses some properties of the algorithm and its local linear convergence, q - superlinear convergence and the whole convergence ; secondly we have made numerical experimentation and numerical analysis ; the last, we have done much discussion for collinear scaling idea and given the several new collinear scaling algorithm
本文的工作就是基於局部二次逼近原理,首先通過構造新的共線調比因子,得到了一類新的更簡潔,數值穩定性更好的共線調比演算法,進而我們給出了本共線調比演算法的局部收斂性,全局收斂性以及演算法q -超線性速度的理論證明;其次,用經典的無約束優化五大考核函數就本共線調比演算法進行了數值試驗和數值分析;最後,就局部二次逼近思想,進行共線調比演算法思想進行更廣泛的討論,給出了幾個新共線調比演算法。Using the comparison principle, it is proved that the proposed method is of superlinear convergence
利用比較原理,間接證明該演算法是一種具有超線性收斂性的近似牛頓法。That is, the convergence speed of the em algorithm becomes much fast as the overlap measure of gaussians in the mixture tends to zero, which conforms to simulation results and practical applications
當這一重疊度趨向于零時,演算法的收斂速度漸進地趨向于超線性,變成為一個快速演算法。這與實際應用是相符合的。In this context, the nlo properties of three kinds of essa ultrathin films are investigated systematically in terms of experiment and theory. the main contents are list in the following : based on the traditional z - scan theory and the huygens - fresnel ( h - f ) diffraction integral principle, we present a double - sided film z - scan theory that is suitable to characterize the nlo properties of the double - sided nonlinear mediums
本論文從實驗和理論上系統地研究了三類靜電自組裝超薄膜的光學非線性,主要研究內容如下:在已有的z - scan理論基礎之上,基於惠更斯-菲涅耳衍射積分原理推導出了適合於表徵雙面非線性介質光學非線性的雙面膜z - scan理論。Nontrivial solution for a semilinear elliptic equation
一類超線性橢圓方程的非平凡解We show that the hybrid method is globally and superlinearly convergent for nonzero residual problems and globally and quadratically for zero resi dual problems
因此,該雜交方法對于零殘量問題是二階收斂的,而對于非零殘量問題是超線性收斂的。Positive solutions of superlinear singular boundary value proble m
奇異超線性邊值問題的正解Positive solutions to singular superlinear second order boundary value problem
奇異超線性二階邊值問題的正解Positive solutions for a class of fourth order superlinear singular boundary value problems
一類四階超線性奇異邊值問題的正解Under mild conditions, we prove the global and superlinear convergence of the method
在較弱的條件下,得到了演算法的全局收斂性及其超線性收斂性。An existence theorem of positive solution for fourth - order superlinear semipositone eigenvalue problems
四階超線性半正特徵值問題的一個正解存在定理A feasible sqp algorithm with superlinear convergence for inequality constrained optimization
不等式約束優化一個具有超線性收斂的可行序列二次規劃演算法Lc1 unconstrained optimization problem was discussed in the second chapter, giving a new trust region method and proving its global convergence and superlinear convergence under some mild conditions
給出了一個新的信賴域演算法,並在一定的條件下證明了演算法的全局收斂性和局部超線性收斂性。The general shamanskii modification of the newton method is defined by the iteration and the global and superlinear convergence of the general shamanskii modification of the newton method are proved in this dissertation
我們不僅證明了改進的sha一mansk燈修正牛頓法的全局收斂性,而且也證明該方法具有超線性收斂速度A necessary and sufficient condition is given in paper [ 16 ] for the sublinear case by the method of upper and lower solution and pontrjagin maximum principle. but the superlinear results are spare because of the essential difference between the superlinear case and the sublinear case. in section two, we gave a necessary and sufficient condition for the superlinear case
對於四階奇異微分方程邊值問題有不少研究成果, o 』 regan [ 10 ]中利用拓撲橫截定理給出了其解存在的充分條件,文獻[ 16 ]則利用上下解方法和極大值原理給出了問題在次線性情形下正解存在的充分必要條件,由於超線性與次線性的本質區別,使得超線性的研究結果相對較少,本文第二節則致力於給出一類四階超線性常微分方程奇異邊值問題正解存在的充分必要條件分享友人